A COLLECTION OF GOOD WORDS
数学
Math
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.
理智的头脑不应该犯逻辑谬误,然而,也有一些非常优秀的头脑无法遵循数学论证。
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
程序设计是应用数学中最困难的分支之一;较穷的数学家最好还是纯数学家。
Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.
每个人都知道曲线是什么,直到他学习了足够多的数学知识,对无数可能的例外感到困惑。
I shall now recall to mind that the motion of the heavenly bodies is circular, since the motion appropriate to a sphere is rotation in a circle.
我现在回想一下,天体的运动是圆的,因为适合于球体的运动是在圆中旋转。
It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day.
任何问题都可以做,只要它能在过程中产生有趣的数学——即使你最终没有解出来。
There was a young lady named Bright Whose speed was far faster than light; She set out one day In a relative way And returned on the previous night.
有一位名叫布莱特的年轻女士,她的速度比光速快得多;她以一种相对的方式出发了一天,前一天晚上又回来了。
Most were beginning to feel they had learned enough to last for the rest of their lives. They remained mathematicians, but largely went their own way.
大多数人开始觉得,他们已经学到了足够的知识,足以支撑他们的余生。他们仍然是数学家,但在很大程度上各行其是。
Let's face it; by and large math is not easy, but that's what makes it so rewarding when you conquer a problem, and reach new heights of understanding.
让我们面对它;总的来说,数学并不容易,但这就是为什么当你征服一个问题,达到新的理解高度时,它是如此有价值。
A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
数学家就像画家或诗人一样,是图案的制造者。如果说他的模式比他们的更持久,那是因为它们是由思想构成的。
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
数学推理可以看作是两种工具的结合,我们可以称之为直觉和独创性。
When you have mastered numbers, you will in fact no longer be reading numbers, any more than you read words when reading books You will be reading meanings.
当你掌握了数字,你就不会再读数字了,就像你读书时读单词一样,你也不会再读意义了。
A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.
一个数学理论,只有当你把它讲得非常清楚,以致于你能向你在街上遇到的第一个人解释清楚时,它才算完整。
KEEP EXPLORING
沿着这个主题,再读几句。
Pure mathematicians just love to try unsolved problems - they love a challenge.
纯粹的数学家只是喜欢尝试未解决的问题——他们喜欢挑战。
Math has a lot of negative stereotypes, but it can actually be fun and incredibly empowering.
数学有很多负面的刻板印象,但它实际上可以是有趣的和令人难以置信的授权。
If mathematics is to be understood widely, we need to emphasise its elegance and its applications. Sometimes it seems that universities want to emphasise how difficult it is!
要使数学得到广泛的理解,我们需要强调它的优雅及其应用。有时候,大学似乎想强调这是多么困难!
And by the same token, I appreciate math, because I can't do math. If I have to read a map or figure out the tip on a restaurant bill, I might start to tear up a little bit.
出于同样的原因,我欣赏数学,因为我不会做数学。如果我要看地图或算出餐馆账单上的小费,我可能会开始流泪。
It is a paradox that as we reach out prime, we also see there is a place where it finishes.
这是一个悖论,当我们向质数伸出手时,我们也看到了质数结束的地方。
One can imagine that the ultimate mathematician is one who can see analogies between analogies.
可以想象,最终的数学家是一个能在类比之间看到类比的人。